Geodesic
Numerical simulation of start control and final observation in fluid filtration model
Journal of computational and engineering mathematics, Tome 8 (2021) no. 1, pp. 29-45 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

The article is devoted to the model to regulate the velocity potential of the free surface of the filtering fluid. This model is based on the problem on start control and final observation by weak generalized solutions of a fluid filtration model, which belongs to the class of mathematical models based on semi-linear Sobolev-type equations with p-coercive and s-monotone operators. We find the sufficient conditions under which there exists a solution to the problem on start control and final observation of the model under study. An algorithm for the numerical solution method is constructed and a computational experiment is presented.
Keywords: fluid filtration model, problem on start control and final observation, mathematical modelling, decomposition method.
Mots-clés : Sobolev type equation 
@article{JCEM_2021_8_1_a2,
     author = {K. V. Perevozhikova and N. A. Manakova},
     title = {Numerical simulation of start control and final observation in fluid filtration model},
     journal = {Journal of computational and engineering mathematics},
     pages = {29--45},
     year = {2021},
     volume = {8},
     number = {1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JCEM_2021_8_1_a2/}
}
TY  - JOUR
AU  - K. V. Perevozhikova
AU  - N. A. Manakova
TI  - Numerical simulation of start control and final observation in fluid filtration model
JO  - Journal of computational and engineering mathematics
PY  - 2021
SP  - 29
EP  - 45
VL  - 8
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/JCEM_2021_8_1_a2/
LA  - en
ID  - JCEM_2021_8_1_a2
ER  - 
%0 Journal Article
%A K. V. Perevozhikova
%A N. A. Manakova
%T Numerical simulation of start control and final observation in fluid filtration model
%J Journal of computational and engineering mathematics
%D 2021
%P 29-45
%V 8
%N 1
%U http://geodesic.mathdoc.fr/item/JCEM_2021_8_1_a2/
%G en
%F JCEM_2021_8_1_a2
K. V. Perevozhikova; N. A. Manakova. Numerical simulation of start control and final observation in fluid filtration model. Journal of computational and engineering mathematics, Tome 8 (2021) no. 1, pp. 29-45. http://geodesic.mathdoc.fr/item/JCEM_2021_8_1_a2/